Some naturally ocurring examples of A-infinity bialgebras
Algebraic Topology
2010-09-07 v5 K-Theory and Homology
Abstract
Let p be an odd prime. When n>2, we show that each tensor factor of form E \otimes \Gamma in H(Z,n;Z_p) is an A-infinity bialgebra with non-trivial structure. We give explicit formulas for the structure maps and the quadratic relations among them. Thus E \otimes \Gamma is a naturally occurring example of an A-infinity bialgebra whose internal structure is well-understood.
Cite
@article{arxiv.0706.0703,
title = {Some naturally ocurring examples of A-infinity bialgebras},
author = {A. Berciano and R. Umble},
journal= {arXiv preprint arXiv:0706.0703},
year = {2010}
}